EBSD & MISORIENTATION CORRELATION FUNCTION
Contents
1. 15 Grain Tolerance Angle and grain detection 15 Inverse pole figure maps 16 SUDO TOO E mena MEN MEMINI E 16 CT cues 16 T 17 6 First neighbours detection EE 18 7 Misorientation Correlation Function 19 Gen EES 20 Misorientations distributlOne egg eere erret rrr 20 Misorientations from the a ge grain 20 Misorientations from a sin hmc 20 Misorientations from the V CENI 21 Misorientation with Idee 21 9 Simulations energy MAP sees 23 10 Grain sizes and grain 5 IE II E OO NE AI E A 24 Ellipse fitting o 24 Fast Fourier ru 25 11 Boundary analyses een EE 26 12 Special 011 ME 28 Clustering 36 22 28 13 Geometrically 29 Geometrically Necessary Dislocation 292. 019272 0 7053 0 1708 0 6269 0 1495 2 0 1281 aroz 0 0 1060 3918 0 0954 0 2135 DORAL 451 0 0427 0 1707 0 0704 0 4 540 0 200 13 047 18 505 23 245 27 004 32 542 37 191 41 040 46 480 D 4549 9200 13 947 180 595 73 245 27 094 32 542 37 191 41 040 46 409 Grain size micron Grain size micron A Matlab file for plotting is also generously provided to help the user Open the file EBSDmcf m with matlab and execute it the correct path has to be given to Matlab Note there is an option to smooth the MCF by kernel convolution Set the nbkernel parameter at the beginning of the file EBSD distrib m Nbkernel 0 no kernel convolution is applied on the results Nokernel 1 one kernel convolution is applied on the results 2 two kernel The following plots will be obtained in the case of the example Compressed titaniun ang Misorientation Axes Get RED Um E e lt wi ew e wh lt gt N 4 Sater RE UA STR edt a gt 2777 lt s ob Pto e D DN as EORR NE C at NM Jj e 4217 zl 444 4 a P sch 2 GE wag 5 E Z ee KE e a T 1 5 step 1 25pm 00
3. v5 0 results F lt boundaries lt 5 X SUCCESSFULLY COMPLETED 5 boundaries 15 96 boundaries 15 St CPU time 1 min 10 80 sec rota overall ev gran size mean line intercept X mean line intercept Y overall av elipticity pairs of 1 54 neighbors overall av nb of neighbors size 7000 7000 distance maxi um size ent 0 200 distance mini jum EBSDmcl v5 0 simulations new rate 100 0 95 2 pixels corrected in loop number wilh 3 neighbouring pixels spikes m 100 Viscoplastic Sell Consistent assumption 5010 corrected pixels n 15 Slip system famille used 00 0 1 1 1 2 D 1 00 0 1 1 0 2 1 1 0 ass 400 0 1 3 1 2 1 1 0 4 00 1 1 0 1 2 T 1 3 ass 8 00 1 21 2 1 2 1 3 800 Succesul completed 7 Restrictions There are some restrictions according the version restrictions on input parameters features output files an it maps There are three levels of restriction namely FULL Features L2 L1 LO Noise Reduction ees User Manual EBSD amp Misorientation Correlation Function Version 6 Cluster Links MCF Parameters Special Miso From particular orient Gravity centre Average Dev Ideal Orientations 6 46 AXX 454424 AXX 44444 444 Simulations User Manual EBSD amp Misorientation
4. User Manual EBSD amp Misorientation Correlation Function Version 6 Grain Size Distribution Grain Size Distribution number fraction area fraction 100 150 50 100 150 Grain size um Grain size Misorientation Distribution first neighbors Misarientation Distribution pixel to pixel neighbors E Frequency Frequency MCF 3D View 0 D um D um User Manual EBSD amp Misorientation Correlation Function Version 6 17 References e M58 Mackenzie JK Biometrika 1958 45 229 e TBG10 S Toth Beausir C Gu Y Estrin Scheerbaum C H J Davis Effect of grain refinement by severe plastic deformation on the next neighbour misorientation distribution Acta Materialia 2010 58 pp 6706 6716 e BFG09 B Beausir Fressengeas P Gurao L S Toth S Suwas Spatial correlation in grain misorientation distribution Acta Materialia 2009 57 pp 5382 5395 e U70 Underwood EE Quantitative stereology Reading MA Addison Wesley 1970 e M61 J C Maxwell On the theory of three primary colours Proc R Inst G B 3 1861 370 374 BBK09 B Beausir S Biswas D S Toth S Suwas Analysis microstructure and texture evolution in pure magnesium during symmetric and asymmetric rolling Acta Materialia 2009 57 5061 5077 7 Beausir L Toth W Neale Ideal orientations and
5. grain 2 the considered neighbour 3 the length of their common boundary 4 the angle of this boundary with respect to the direction 1 of the sample Example with SMA tetra ctf M _ SA SAN 359x90um step 0 50pm fer CH dk Note that the length of the boundaries are also indicated in BOUND OUT These lengths are not extracted from the approximated lines but from the number of pixels constituting the boundaries The boundaries are also plot different colors as function of the misorientation angle example with ECAP 1 Dass ctf ec User Manual EBSD amp Misorientation Correlation Function Version 6 10pm 1 96 02 In red gt 15 in green between 5 the triple points User Manual EBSD amp Misorientation Correlation Function Version 6 12 Special features Clustering coefficient The clustering coefficient is not explained in the current version User Manual EBSD amp Misorientation Correlation Function Version 6 13 Geometrically Necessary Dislocation EBSOmcf 6 0 beta EBSD met Mam Plots Miso GND Textures Simulations Geometrically Necessary Dislocations Iw make GND calculation Burgers vector lentgh m 2 86d 1 0 plot the trace of the plane of normal ER 11 colorbar scaling factor 010 1 05 Geometrically Necessary Dislocation
6. 14 Textures 31 Texture rolation EL ER eec EE 31 Pole NT E 31 ODF sections ES o _ EEN EN EN ENN 7 User Manual EBSD amp Misorientation Correlation Function Version 6 1 Get Started Install Execute EBSDmcf_v _L _ setup exe and follow the instructions Package content The package contains the following files EBSDmct exe executable of the main program EBSDmcf m matlab plotting file BFGOO9 pdf you have to read it e BG10 pdf you have to read it e ECAP Cu TD 1pass ctf data file example 1 e Compressed titanium ang data file example 2 e SMA tetra ctf data file example 3 Input data file Data are taken from EBSD measurements typically from TSL or Channel 5 Software oimply export your data in the usual formats of these software ted as ANG file format exported as CTF file format e From T SL data have to be ex e From Channel 5 data have t Three examples are given e ECAP Cu ID 1pass ctf e Compressed titanium anc e SMA tetra ctf Run the program e Execute EBSDmcf exe the main dialog box appears User Manual EBSD amp Misorientation Corre
7. Misorientations from the average grain orientation 14 MAP SPECMISO BMP displaying average orientation of each grain is cre Aisorientation with respect to the isponding color code is the following max angle User Manual EBSD 8 Misorientation Correlation Function Version 6 15 MAP MEAN BMP displaying the misorientation with respect to a user specified orientation is created the corresponding color code is the following 0 max angle Misorientations from the grain gravity centre A map 13 GRAV BMP displaying the misorientation with respect to the orientation of gravity centre of each grain is created Example with ECAP d Zi 2 step 0 20pm 110 0 00E 00 1 7 3 50 01 Note that when the gravity centre of a grain is outside of the grain the grain is coloured in black when the misorientation exceed the maximum angle specified by the user the color correspond always to the maximum i e red brown The gravity centres are indicated by small white crosses Misorientation with Ideal orientations cues User Manual EBSD 8 Misorientation Correlation Function Version 6 Misorientation of each pixel with ideal orientations is calculated the nearest ideal orientation is selected the user can set the limit of misorientation for which the pixel is considered near to an ideal orientation
8. Last update 18 January 2011 B Beausir Institut fur Strukturphysik Technische Universitat Dresden D 01062 Dresden Germany J J Fundenberger Laboratoire d Etude des Microstructures et de M canique des Mat riaux LEM Universit Paul Verlaine Metz CNRS 57045 Metz France EBSD amp MISORIENTATION CORRELATION FUNCTION User Manual EBSD amp Misorientation Correlation Function Version 6 This software was originally written to study the grain misorientation in relation with the nearest neighbor s mutual distance using electron back scattered diffraction measurements invite you to read Spatial correlation in grain misorientation distribution B Beausir C Fressengeas N P Gurao L S Toth S Suwas Acta Materialia 57 2009 pp 5382 5395 Since this work further developments have been performed several special quantities can be extracted from the EBSD measurements such as the length and orientation of the boundaries between next neighbours the number of interconnected first neighbours around a grain as an example see Effect of grain shape on next neighbour misorientation distribution due to grain refinement by severe plastic deformation L S Toth B Beausir C Gu Y Estrin Scheerbaum Davis Acta Materialia 58 2010 6706 6716 This software Is frequently upgraded the new versions will be available on my homepage http benoitbeausir free fr on the downloads
9. 5 7 User Manual EBSD amp Misorientation Correlation Function Version 6 8 Misorientations EBSOmcf 6 0 beta EBSD met Mam Noise Plots MCF GND Filtres Textures Simulations Special Misarientations Select data file Miso grav centre angle 7 25 Load profile v Miso average angle 7 25 W Misa from phil phi angle 7 5 Dev Ideal Orientations Mo Roling Te shear 0 angle lattice fcc bee hep 25 miso limit 7 Save profile Choose particular orientation s Az Abar Bbar B 3526450 WI 180 54 7445 14474450 2 0 54 7445 180 35 2545 3 W8 0 352545 4 72 9 450 5 for explainations see here http benoitbeausir free fr EBSDmcfas html HE BS Dimcf Misorientions Execute Misorientations distributions Two ways are proposed to pre he misorientation distribution namely pixel to pixel and grain to grain from the misorientation between pixels and their four The pixel to pixel is calculated frc South East and West and the results are given in the neighbouring pixels North PIX2PIXmiso OUT file The grain to grain misorie distribution is calculated from the average orientation of grains Then the misorientation between orientations of grains and their neighbors is calculated The results are given in the MACKENZIE OUT file
10. Just an example for the mome component of the Nye tensor 1 4 19 01 4 19 01 User Manual EBSD 8 Misorientation Correlation Function Total gnd m 2 100 55 step 0 10um l 420 0 00 00 2 06 15 2 Hm Version 6 User Manual EBSD amp Misorientation Correlation Function Version 6 14 Textures Texture rotation The user can rotate the data with respect to the sample directions Pole figures see the files SVG and example bellow more explainations are coming soon SVG files can be open with any internet browsers the following plots has been checked in Google Chrome another usefull freeware for SVG files is SVG Edit if you download it simply open the html file with Firefox Pole Figure 002 Pole Figure 100 0 7 0 94 1 k 94 Y Q b 2 94 34 i ES 2 3 73 4 27 1 Pole Figure 102 User Manual EBSD amp Misorientation Correlation Function Version 6 ODF sections see the files SVG and example bellow more explainations are coming soon ODF sections at Phi2 Cst ODF sections at Phil Cst 0 70 1 01 1 33 1 65 5 2 72 3 11 3 54 4 00 4 53 5 22 Get gd IR User Manual EBSD 8 Misorientation Correlation Function Version 6 The results windows can be frozen especially on windows and thus the user can not see the progression of the computation Just wait the end of the run To close the program
11. The procedure is stopped when all the non indexed pixels have been corrected Example with 6 neighbour pixels User Manual EBSD 8 Misorientation Correlation Function Version 6 Non indexed pixel e FULL mode The strategy to assign an orientation to the non indexed pixels is similar to the FULL mode except that when the number of newly indexed pixels in a loop represents less than 0 05 of the whole map the number of neighbouring pixels is decreased by 1 This mode can strongly reduces the time with respect to the full high precision mode e AUTO mode The strategy to assign an orientation to the non indexed pixels is similar to the FULL mode except that the number of neighbour pixels 15 limited to 4 e USER mode The user can set the number of correction loops and the number of neighbour pixels Spike correction The strategy to assign a new least seven indexed neighbo mean orientation of those 7 user The procedure 15 limit See the figure bellow ion to a spike is as follows The spikes displaying at misoriented by less than 3 are re oriented by the Dour pixels One or two loops can be set by the loops to avoid important changes of the original Spike 1 Initial 2 spikes 1st spike correction loop 2nd spike correction loop Example with ECAP Cu 1pass ctf User Manual EBSD 8 Misorientation Correlation Function Initial 70 indexed Ze Corrected with
12. in this area only A new data file SUBSET is created The user can rotate the data with respect to the sample directions Note the options minimum nb of pixel for a grain is not available in this version Grain Tolerance Angle and grain detection The procedure to define the his four north south east and exceeds the grain toleranc ti e following The misorientation of each pixel with neighbours is examined When the misorientation boundary is defined Once all the pixels boundaries are defined a flood fill pra applied to search for sub surfaces delimitated by a close boundary The lattei ined as grains The file GRAINS OUT give information about the detected grains there are seven columns in this file ID the grain ID ourface surface of the grain XG x coordinate of the grain gravity cente YG y coordinate of the grain gravity center Phi1 Euler angle 1 Bunge convention Phi Euler angle 2 Bunge convention Phi2 Euler angle 3 Bunge co rain size 3 E LEE YTICITV SC O 01 55 WD User Manual EBSD amp Misorientation Correlation Function Version 6 13 clustering coefficient distance 14 number of links 15 number of neighbors 16 neighbor s ID Inverse pole figure maps The orientation of each pixel is projected in inverse pole figures with respect to one of the three sample directions One colour is given to each pixel according t
13. indesed pels are corrected Then the procedure iz repeated with 7 neighbours downto 1 neighbour The procedure is stopped wher all the nor indesed pixels Full High precision made newly indexed pixels in loop represents lt 0 05 of the whole map Full made the number of neighbour is 4 Auto made The spikes displaying at least seven indexed neighbour pixels misoriented by less than 3 are re ariented by the mean onentation af those f or 8 neighbour One two loops can be set by the user to avoid important changes of the original map new data NOISE REQUCED THT This is ready for Further another run Execute There four modes to perfor User To avoid repeating the t created after the noise reduc can be read by the software for another run e FULL High precision m The strategy to assign an surrounded by 8 indexed p Version 6 5 noise reduction Full high precision Full Auto or spike corrections see bellow a new data file is spikes correction NOISE REDUCED TXT This file rient ion to non indexed pixels is First the non indexed pixels Is displaying a misorientation less than 3 are indexed by the mean orientation of these 8 neighbouring pixels Several loops are performed until all non indexed pixels are corrected Then the procedure is repeated with 7 neighbours 6 down to 1 neighbour pixel
14. BOUND OUT BOUND2 OUT CKPK OUT DISTRIB_IDEAL OUT 44 DISTRIB IDEAL FILTRE OUT 4 DISTRIB IDEAL REST OUT FAST FOURIER OUT GRAINS OUT 24 GRAINS FILTRE OUT a GRAINS 5 V X GRAINSIZE OUT VK GRAINSIZE FILTRE OUT m GRAINSIZE REST OUT P MACKENZIE OUT MCF OUT 4 MCFBL OUT MIS AXIS OUT MISOGRAV SIZE OUT x NEIGHBORS OUT NETWORK OUT OLDGB OUT PERTURB OUT SA 5544 lt lt 444 lt lt lt lt lt 45 File descriptions First neighbours boundary characteristics First neighbours boundary characteristics For network analysis Ideal orientation deviation distribution DISTRIB_IDEAL OUT only on selected grains DISTRIB_IDEAL OUT on non selected grains For grain shapes analysis Grain characteristics GRAINS OUT only on selected grains GRAINS OUT on non selected grains Grain size distribution GRAINSIZE OUT only on selected grains GRAINSIZE OUT on non selected grains Misorientation distribution of the first neighbours Misorientation correlation function MCF but with boundary lengths Misorientation axes between neighbors Statistics on miso grav center with grain sizes 4 List of the first neighbours For network analysis M analysis see TBG10 For grain shapes analysis User Manual EBSD amp Misorientation Correlation Function SIM_INPUT OUT SIMMAPS OUT temp smt SUBSET TXT NOISE_REDUCED
15. Correlation Function 2 Outputs Maps There are several plotted maps in BMP format Files 01 MAP BC BMP 02 MAP MAD BMP 03 MAP BS BMP 04 MAP IPF BMP 05 MAP EULER BMP 06 MAP BOUND BMP 07 MAP FITEL BMP 08 MAP FIT BOUND BMP 09 MAP NET BMP 10 MAP NEIGH BMP 11 MAP LINKS BMP 12 CLUSTER BMP 13 MAP GRAV BMP 14 MAP SPECMISO BMP iu 15 MAP MEAN BMP ui 16 MAP IDEALBMP v 17 MAP NRJ BMP lt lt lt lt lt lt lt 6 4 664 1 18 MAP CLST DIS BMP 19 MAP NUM BMP 5 20 GND12 BMP 21 MAP GND13 BMP 22 MAP GND21 BMP 23 MAP GND23 BMP 24 MAP GND33 BMP GND_ NORME E BMP dud m E Fw TOT Sir E 5554 4444444 SE 4 lt lt lt lt 5 Version 6 Map descriptions Bands Contrast MAD Bands Slopes Inverse Pole Figure All Euler Boundaries Elliptical fitting Boundaries fitting Network Number of neighbors Number of links Cluster parameters Miso from gravity centres Miso from a specified orientation Miso from average grain orientation Miso from ideal orientations Energy map from simulations Cluster parameters with distance Map displaying the grain IDs 12 13 Alpha21 map f 2 Alpha23 map User Manual EBSD amp Misorientation Correlation Function Version 6 There are several output files in ASCII or SVG formats Files L2 L1
16. FULL mode 100 indexed Version 6 User Manual EBSD 8 Misorientation Correlation Function Se e 4 e E E step 0 20p Version 6 User Manual EBSD amp Misorientation Correlation Function Version 6 4 Basic Options EBSDmcf 6 0 beta EBSDmct Main Noise Plots DND Filtres Textures Simulations Select data file Mam parameters Grain tolerance angle Load profile Projection plan IPF map 1 C 2 23 9 Save profile Minimum nb of pixel For grain Grain size pm Auto Te User step Subset 1 Rotation 1 axis fe C 2 C x3 angle Rotation 2 asis je x C vi angle 0 The procedure to define the grains ts the following The misonentation of each pixel with his Four narth south east and west neighbours is examined When the misorientation exceeds the grain tolerance angle a boundary is defined all the pixels boundaries are defined flood fill procedure applied to search for sub surfaces delimitated by a close boundary The latter are defined grains The file GRAINS OUT give information about the detected grains Three symmetries are available in the current version cubic hexagonal and tetragonal 4 mmm Set the area of the subset by two points 1 v1 and 42 yz The calculation will be done on the pels located
17. TXT SVG ODF 1 SVG ODF 2 SVG GRAINSIZE_AF SVG GRAINSIZE_NB SVG PIX2PIXmiso SVG MACKENZIE SVG MCF SVG 444445444444 4 4444444 lt lt lt lt lt lt lt 4444444 Version 6 Parameters used the simulations Results of simulations Texture file of EBSD data Data file after subset file Output noise reduction file Parameters for Matlab plots Pole figures ODF in phit const sections ODF in phi2 const sections Grain size distrib area fraction Grain size distrib nb fraction Pix2pix miso distrib Grain2grain miso distrib M C F misor sections can be open with internet browsers or some imaging free software like GIMP User Manual EBSD amp Misorientation Correlation Function 3 Noise spike reduction Noise reduction EBSDmcf 6 0 beta EBSDmcf Main Plats DND Filtres Textures Simulations Noise Reduction Select data file Mone Auto fe Ful Full high precision C User Nb noise red 10 Mb neigh pis 7 ave profile Spikes correction Mb of spike corrections loop 2 loops The strategy to assign an orientation to non indexed pixels is First the non indexed pixels surrounded by 8 indexed pixels displaying misonentation less than 3 are indexed the mean orientation of these neighbouring pixels Several loops are performed until all non
18. The distribution of misorientation is write in DISTRIB IDEAL OUT for each selected ideal orientations the distribution is given with respect of the total number of pixel in the map A map is also plotted 16 MAP IDEAL BMP where the pixels close to an ideal orientations are coloured as in the Tables below when a pixel is not near to an Ideal orientation i e when the misorientation exceed the misorientation limit the pixel is coloured according the band contrast Note be sure that your data are in the reference system of the ideal orientation defined in the table bellow if not you can rotate your data see before Example with ECAP Cu TD 1pass ctf color code corresponding to the ideal shear orientations in FCC metals see also Table hereafter E A A o E gt BO0xB80pgm step 0 20pm Shear fcc See Toth et al TGJ88 shear direction 15 to shear plane is Y Shear bec See Baczynski and Jonas BJ96 shear directionas_X normal to shear plane is Y Shear X hcp See Beausir et al BTNO7 shear direction is X normal to shear plane is Y Rolling fcc See Hirsch L cke HL88 rolling direction is X normal direction is Z Rolling bec See H lscher et al HRL91 rolling direction is X normal direction is 7 Rolling hcp See Beausir et al BBKO9 rolling direction is X normal direction is Y User Manual EBSD amp Misorientation Correlation Function Version 6 9 Simulatio
19. ain results are algo split in the RESULTS OUT Execute The user can applied several filtres on grains On shapes ellipticity and angle of the ellipses On grain sizes On the number of neighbor On the number of links On the cluster coefficients On the grain IDs a file has to be prepared it has to contain IDs of the grains per line Only the selected grains will 9Jloured on the different maps Several statistics are made on the two split populations of grains and are reported in the file XX FILTRE for the selected grains and XX REST for the others Refer to the list of output file above The main results are also split in the RESULTS OUT file User Manual EBSD amp Misorientation Correlation Function Version 6 6 First neighbours detection If a grain displays a boundary with another grain these two grains are called first neighbours They represent a pair of grains or a pair of neighbours The four neighbouring pixels are considered North East West and South The list of the first neighbours of each grain can be found in the NEIGHBORS OUT file by row ID number of neighbours NbNbors ID of the neighbours ID Neighbors The misorientation axes characteristics are contained in the MIS AXIS OUT file six columns X1 x coordinate of the axis on inverse pole figure X2 y coordinate of the axis on inverse pole figure theta the corresponding misorient
20. ation value Miller index 1 Miller index 2 Miller index 3 5 N User Manual EBSD amp Misorientation Correlation Function Version 6 7 Misorientation Correlation Function MCF EBSOmcf 6 0 beta EBSD met Mam Plots Misor GAD Filtres Textures Simulations Misonentation Correlation Function parameters 22 Size of the misorientation boxes 2 Load profile Distance parameters prn C Auto User min step Save profile The size of the misorientation bases can by the user as well as the minimum the maximum and the sizes of the distance boxes Values af the Misonentation Correlation Function are given in ME OUT is giver table columns misonentations rows distances For mare details see Beausir Fressengeas Buran L 5 Toth 5 Sumas Spatial correlation in grain misorientation distribution Acta Materialia 2009 57 pp 5362 5395 Execute Please refere to Beausir et al BFG09 3 can be set by the user as well as the minimum the The size of the misorientation boxes maximum and sizes of the Values of the Misorientatio ion Function are given in MCF OUT file MCF is given 5 rows distances Secondary recrystallization Primary recrystallization twins 9 3 amp 9 110 twins 3 607 111 x 8 7 gw m Cu Torsion
21. he Maxwell s colour triangle M61 Three symmetries are available in the current version cubic m3m hexagonal 6 mmm and tetragonal 4 mmm the IPF map 15 04 LO Cubic m3m Hexagonal 6 mmm tetragonal 4 mmm Another map with a color code corresponding to the euler angles is also plotted 05 MAP_EULER BMP Subset mode ts x1 y1 and x2 y2 The calculation will be done Set the area of the subset b ly A new data file SUBSET TXT is created on the pixels located in this Rotations Please textures pages for explainations on rotations User Manual EBSD amp Misorientation Correlation Function Version 6 5 Filtres EBSOmcf 6 0 beta EBSD met Mam Plots Mizar GND Filtres Textures Simulations SE Select data file Shapes lt ellipticity lt Load profile min lt angle 71 lt Grain sizes min lt d um lt mas Neighbors min lt nb neighbors lt max Save prafile Cluster min lt cluster coeff mas Links min nb links lt max exclude grains n Aevchude tet scape separator The user can applied several Filtres on grains Only the selected grains will be coloured on the different maps Several statistics are made on the two split populations of grains and reported in the ax FILTRE for the selected grains and ax REST for the others The m
22. lation Function EBSOmcf 6 0 beta EBSD met Plats GND Filtres Textures Simulations EBSDmcf version 6 0 jan 2011 Authors B Beausir 1 J J Fundenberger 2 1 Institut F r Strukturphysik Technische Universitat Dresden 010652 Dresden Germany 2 Laboratoire d Etude des Microstructures et de M canique des Mat riaux LEMS Universit Paul Verlaine Metz CHAS 57045 Metz France Help and updates can be found on http benoitbeausir free html E BSD met EBSDmcf is freely available for non commercial use The source code and documentation copyrighted and may not be redistributed or placed on public Web servers without permission The software is provided is with na warranty FULL VERSION 444 Version 6 Select data file Load profile Save profile Execute Quit e Choose your parameters in the differents tabs see details after e Select your data file e Click on execute the results and the simulations if required boxes appears please wait for the end of the run e Note the parameters can be saved and loaded for subsequent runs Load profile and Save profile buttons to runa your profile pfl ASCII and cli ulation from profile frist select the data file then load e Execute from profile button User Manual EBSD amp Misorientation Correlation Function Version 6
23. m before the end of a run you can simply go in the Task manager and stop the EBSD MCF exe processus 16 Plots The user may plot what he wants to plot with any plotting software Nevertheless main informations are plotted in svg files SVG files can be open with any internet browsers the following plots has been checked in Google Chrome another usefull freeware for SVG files is SVG Edit if you download it simply open the html file with Firefox The following plots will be obtained in the case of the example ECAP Cu TD 1pass ctf f 7 h IS di Misorientation Correlation Function 2 0 0 0241 EH 0021 12 0 14 0 16 0 0 7393 10 0 200 2 0 6469 24 0 20 0 nssas 30 0 34 0 46 0 0 4621 0 e 40 0 32 0 0 3697 0 2772 235 56 0 1H4H DU 0 0924 EE um a Ka kt ES tom moe P To o NR a 32 405 4000 7 485 44981 12 476 14 071 17 157 19 96 27 457 24 057 S0 80pm stop 0 20pm 410 Distance microns Pixel to Pixel Misorientation Distribution Next Neighbor Misorientation Distribution 0 0851 0 0766 0 0681 0 0595 2 5 0 0510 5 0 0234 5 5 4 0 0425 H 0 0195 Misorientation Misorientation User Manual EBSD 8 Misorientation Correlation Function Version 6 Grain Size Distribution Grain Size Distribution 2136
24. ns energy map EBSOmcf 6 0 beta EBSDmef Main Noise Plots MCF Miso GND Files Textures Simulations Select data file Simulations Self consistent Initial grain shape set Load profile Velocity gradient Increment number 10 1 0 on strain increment 10 01 loo Dn jan Strain rate sens 17m 20 Dn Dn 0 0 Slip systems cubics hexagonal ndo 111 lt 1105 110 111 001 120 ndo 100110 112x111 ndo 110 0 lt 12 0 ndo 110 110 040 123 111 040 101 120 0 40 01101100 040 0 15213 40401 21 2 lt 21 3 Execute self consistent MCA87 M194 and Taylor assumptions are available For the self consistent assumption the shape ellipse fitting see before be taken used as input of the simulations the 1 are circular by default The plastic energy map 17 MAP NRJ BMP is plotted When the reference stress 4 0 min energy 1 User Manual EBSD amp Misorientation Correlation Function Version 6 10 Grain sizes and grain shapes The grain size d is defined as follow d 2 sqrt S pi Where S is the surface of the grains The results are given in GRAINSIZE OUT The size and the maximum of the histogram boxes can be set by the user The Auto mode chooses the maximum grain size as maximum and 2 pixels a
25. page Also if you use this program and obtain suspicious results or if you need particular information not available in the current version please address your comments at Benoit Beausir Institut fur Strukturphysik Technische Universitat Dresde 01062 Dresden Germany Tel 49 0 351 463 3743 e mail benoit beausir u 2 e mail beausir physik phy tu dresden de Nilesh P Gurao Department of Materials Engineering Indian Institute of Science Bangalore India Robert Chulist Institut fur Strukturphysik Technische Universitat Dresden Dresden Germany and Chengfan Gu Department of Materials Engineering Monash University Clayton Australia have kindly provided the three examples given with this manual B B thanks the Alexander von Humboldt Foundation for his research fellowship User Manual EBSD amp Misorientation Correlation Function Version 6 Contents MO NS EE 4 a E E AN E EEE O EEE 4 560 E 4 4 UR NE DIODES OSCE O E SSSR OOS SESS SSS 4 COSCO E 6 CERO EAS 8 VE m 8 PO E A A 8 3581 011 1 1 1811 are 0 NT 11 20 BE 11 SOS 1 ION orrie T TT 12 Example with ECAP jpaesch 12 4 kel le
26. persistence characteristics for h c p crystals in simple shear Acta Materialia 2007 55 pp 2695 2705 BJ96 J Baczynski J J Jonas Texture development during the torsion testing of alpha iron and two IF steels Acta Materialia 1996 44 4273 4288 TGJ88 L Toth P Gilormini J J Jonas Effect of rate sensitivity on the stability of torsion textures Acta Metallurgica 1988 36 pp 3077 3091 e HL88 J Hirsch K Lucke J J Jonas Mechanism of deformation and development of rolling textures in polycrystalline fcc metals 2 Simulation of experiments on the basis of Taylor type theories Acta Metallurgica 1988 36 2883 2904 e HRL91 M Holscher D Raabe K Lucke Rolling and recrystallization textures of bcc steels Steel Research 1991 6 e MCA87 A Molinari deformation polycrystal viscop e MY94 A Molinari L S element results 1 Modeling Acta 5 Azhi A self consistent approach of the large y Acta Metallurgica 1987 35 pp 2983 2994 ng a self consistent viscoplastic model by finite Metallurgica et Materialia 1994 42 pp 2453 2458
27. s box sizes The two column in GRAINSIZE OUT give the number fraction and area fraction respectively The grain size is also calculated from line intercept method with respect to the X and Y directions Each row X and Column Y of pixels is examined the average distance between boundaries according the Grain Tolerance Angle of the user with respect to X and Y directions is calculated and given in the RESULS OUT file and in the main window Ellipse fitting Once the grains are detected and their gravity centres known the grains are fitted by ellipses From the fit the big axis a and the small axis b as well as the angle of the big axis with the direction 1 of the sample are obtained Thus the ellipticity of each grains is calculated as follow E 1 b a For a circle the ellipticity is zero and when a gt gt b the ellipticity tends to 1 Note that the grains on the map borders are not considered User Manual EBSD amp Misorientation Correlation Function 50x50yum step 0 20pm emm 10pm 3 90E 01 mm 1 98 02 Fast Fourler Transform Not explained in the Version 6 OS User Manual EBSD 8 Misorientation Correlation Function Version 6 11 Boundary analyses The grain boundaries are approximated by straight lines at angle with axis 1 of the sample This angle is reported in BOUND OUT Boundary characteristics are written in this file for pairs of first neighbours in four columns 1 ID grain 1 2
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